{"id":1037,"date":"2023-07-27T21:42:44","date_gmt":"2023-07-27T21:42:44","guid":{"rendered":"https:\/\/statorials.org\/tr\/basin-istatistikleri\/"},"modified":"2023-07-27T21:42:44","modified_gmt":"2023-07-27T21:42:44","slug":"basin-istatistikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/basin-istatistikleri\/","title":{"rendered":"Basin istatisti\u011fi nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde<a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresyon modellerini<\/a> iki nedenden dolay\u0131 kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> Bir veya daha fazla <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken<\/a> ile bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fkiyi <em>a\u00e7\u0131klay\u0131n<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> Bir veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin de\u011ferlerine dayanarak bir yan\u0131t de\u011fi\u015fkeninin de\u011ferlerini <em>tahmin edin<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Amac\u0131m\u0131z <strong>(2)<\/strong> bir yan\u0131t de\u011fi\u015fkeninin de\u011ferlerini <em>tahmin etmek<\/em> oldu\u011funda, bunu yapmak i\u00e7in m\u00fcmk\u00fcn olan en iyi regresyon modelini kulland\u0131\u011f\u0131m\u0131zdan emin olmak isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni veriler \u00fczerinde en iyi tahminleri yapacak regresyon modelini bulmak i\u00e7in kullanabilece\u011fimiz bir \u00f6l\u00e7\u00fcm, &#8221; <strong>tahmin edilen<\/strong> <strong>art\u0131k<\/strong> <strong>kareler<\/strong> <strong>toplam\u0131<\/strong> &#8221; anlam\u0131na gelen <strong>PRESS istatisti\u011fidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>BASIN = \u03a3(e <sub>i<\/sub> \/ (1-h <sub>ii<\/sub> )) <sup>2<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> kal\u0131nt\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> g\u00f6zlemin modelin uyumu \u00fczerindeki etkisinin (&#8220;kald\u0131ra\u00e7&#8221; olarak da bilinir) \u00f6l\u00e7\u00fcs\u00fc.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00c7oklu regresyon modelleri g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, en d\u00fc\u015f\u00fck PRESS&#8217;e sahip olan, yeni bir veri seti \u00fczerinde en iyi performans\u0131 g\u00f6sterecek olan olarak se\u00e7ilmelidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, R&#8217;deki \u00fc\u00e7 farkl\u0131 do\u011frusal regresyon modeli i\u00e7in PRESS istatisti\u011finin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: PRESS istatisti\u011finin hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ( <sub>x1<\/sub> , <sub>x2<\/sub> ve <sub>x3<\/sub> ) ve bir yan\u0131t de\u011fi\u015fkeni y&#8217;den olu\u015fan bir veri setimiz oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data &lt;- <span style=\"color: #3366ff;\">data.frame<\/span> (x1 = c(2, 3, 3, 4, 4, 6, 8, 9, 9, 9),\n                   x2 = c(2, 2, 3, 3, 2, 3, 5, 6, 6, 7),\n                   x3 = c(12, 14, 14, 13, 8, 8, 9, 14, 11, 7),\n                    y = c(23, 24, 15, 9, 14, 17, 22, 26, 34, 35))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <strong>lm()<\/strong> i\u015flevini kullanarak \u00fc\u00e7 farkl\u0131 regresyon modelinin bu veri k\u00fcmesine nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model1 &lt;- lm(y~x1, data=data)\n\nmodel2 &lt;- lm(y~x1+x2, data=data)\n\nmodel3 &lt;- lm(y~x2+x3, data=data)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, her model i\u00e7in PRESS istatisti\u011finin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create custom function to calculate the PRESS statistic<\/span>\nPRESS &lt;- <span style=\"color: #008000;\">function<\/span> (model) {\n    i &lt;- <span style=\"color: #3366ff;\">residuals<\/span> (model)\/(1 - lm. <span style=\"color: #3366ff;\">influence<\/span> (model)$ <span style=\"color: #3366ff;\">hat<\/span> )\n    sum(i^2)\n}\n\n<span style=\"color: #008080;\">#calculate PRESS for model 1<\/span>\nPRESS(model1)\n\n[1] 590.2197\n\n<span style=\"color: #008080;\">#calculate PRESS for model 2<\/span>\nPRESS(model2)\n\n[1] 519.6435\n\n<span style=\"color: #008080;\">#calculate PRESS for model 3<\/span>\nPRESS(model3)\n\n[1] 537.7503\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">PRESS istatisti\u011fi en d\u00fc\u015f\u00fck olan modelin ise <strong>519.6435<\/strong> PRESS istatisti\u011fiyle Model 2 oldu\u011fu ortaya \u00e7\u0131kt\u0131. Bu nedenle, yeni bir veri seti \u00fczerinde tahmin yapmak i\u00e7in en uygun modeli bu modeli se\u00e7ece\u011fiz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cimri-model\/\" target=\"_blank\" rel=\"noopener noreferrer\">Cimri bir model nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0130yi bir R-kare de\u011feri nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerderegresyon modellerini iki nedenden dolay\u0131 kullan\u0131r\u0131z: (1) Bir veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klay\u0131n . (2) Bir veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin de\u011ferlerine dayanarak bir yan\u0131t de\u011fi\u015fkeninin de\u011ferlerini tahmin edin . Amac\u0131m\u0131z (2) bir yan\u0131t de\u011fi\u015fkeninin de\u011ferlerini tahmin etmek oldu\u011funda, bunu yapmak i\u00e7in m\u00fcmk\u00fcn olan en iyi regresyon modelini [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1037","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>BASIN istatisti\u011fi nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"PRESS istatisti\u011finin resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BASIN istatisti\u011fi nedir? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"PRESS istatisti\u011finin resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T21:42:44+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/\",\"url\":\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/\",\"name\":\"BASIN istatisti\u011fi nedir? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T21:42:44+00:00\",\"dateModified\":\"2023-07-27T21:42:44+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"PRESS istatisti\u011finin resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/basin-istatistikleri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Basin istatisti\u011fi nedir?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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